Modification and unification of the Apostol-type numbers and polynomials and their applications
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Date
2014-05-25
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Elsevier
Abstract
In this paper, we construct generating functions for modification and unification of the Apostol-type polynomials Y ((nu))(n,beta)(x;k,a,b) of order nu. By using these generating functions, we derive many new identities related to the generalized Stirling type numbers of the second kind, array-type polynomials, Eulerian polynomials and the modification and unification of the Apostol-type polynomials and numbers. We give many applications related to these numbers and polynomials and PDEs.
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Keywords
Bernoulli numbers and polynomials, Euler numbers and polynomials, Genocchi Bernoulli numbers and polynomials, Stirling numbers, Catalan numbers, Unified presentation, Euler polynomials, Generating-functions, Bernoulli, Families, Mathematics, Computational methods, Mathematical techniques, Bernoulli numbers, Euler numbers, Eulerian polynomial, Generating functions, Second kinds, Stirling number, Stirling-type, Polynomials
Citation
Özden, H. ve Şimşek, Y. (2014). "Modification and unification of the Apostol-type numbers and polynomials and their applications". Applied Mathematics and Computation, 235, 338-351.